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Related papers: Stop-and-Go Suppression in Two-Class Congested Tra…

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The core of the freeway merging control problem lies in dynamic queue propagation and dissipation linked to merging vehicle behavior. Traditionally, queuing is modeled through demand-supply interactions with time varying demand and fixed…

Robotics · Computer Science 2025-07-24 Qing Tang , Xianbiao Hu

Automated Vehicle (AV) control in mixed traffic, where AVs coexist with human-driven vehicles, poses significant challenges in balancing safety, efficiency, comfort, fuel efficiency, and compliance with traffic rules while capturing…

Artificial Intelligence · Computer Science 2026-03-27 Pankaj Kumar , Pranamesh Chakraborty , Subrahmanya Swamy Peruru

We present a formal kinetic derivation of a second order macroscopic traffic model from a stochastic particle model. The macroscopic model is given by a system of hyperbolic partial differential equations (PDEs) with a discontinuous flux…

Mathematical Physics · Physics 2024-03-06 Felisia Angela Chiarello , Simone Göttlich , Thomas Schilliger , Andrea Tosin

We introduce an alternative approach for the analysis and numerical approximation of the optimal feedback control mapping. It consists in looking at a typical optimal control problem in such a way that feasible controls are mappings…

Optimization and Control · Mathematics 2017-06-09 Pablo Pedregal

In this paper, we present the first experimental results of data-driven predictive control for connected and autonomous vehicles (CAVs) in dissipating traffic waves. In particular, we consider a recent strategy of Data-EnablEd Predicted…

Systems and Control · Electrical Eng. & Systems 2022-11-24 Jiawei Wang , Yang Zheng , Jianghong Dong , Chaoyi Chen , Mengchi Cai , Keqiang Li , Qing Xu

In this paper, we propose a macroscopic model that describes the influence of a slow moving large vehicle on road traffic. The model consists of a scalar conservation law with a non-local constraint on the flux. The constraint level depends…

Analysis of PDEs · Mathematics 2024-05-06 Abraham Sylla

Collisions, crashes, and other incidents on road networks, if left unmitigated, can potentially cause cascading failures that can affect large parts of the system. Timely handling such extreme congestion scenarios is imperative to reduce…

Artificial Intelligence · Computer Science 2023-05-17 Ashutosh Dutta , Milan Jain , Arif Khan , Arun Sathanur

For a class of data-fitted macroscopic traffic models, the influence of the choice of the stagnation density on the model accuracy is investigated. This work builds on an established framework of data-fitted first-order…

Physics and Society · Physics 2013-08-05 Shimao Fan , Benjamin Seibold

The paper proposes a method for the correct by design coordination of autonomous driving systems (ADS). It builds on previous results on collision avoidance policies and the modeling of ADS by combining descriptions of their static…

Multiagent Systems · Computer Science 2022-05-23 Marius Bozga , Joseph Sifakis

Fleets of autonomous vehicles can mitigate traffic congestion through simple actions, thus improving many socioeconomic factors such as commute time and gas costs. However, these approaches are limited in practice as they assume precise…

Machine Learning · Computer Science 2024-10-11 Aamir Hasan , Neeloy Chakraborty , Haonan Chen , Jung-Hoon Cho , Cathy Wu , Katherine Driggs-Campbell

Nonlinear hyperbolic partial differential equations govern continuum traffic flow models. Higher-order traffic flow models consisting of continuum equations and velocity dynamics were introduced to address the limitations of the Lighthill,…

Analysis of PDEs · Mathematics 2024-07-10 Nandan Maiti , Bhargava Rama Chilukuri

The emergence of autonomous vehicles is expected to revolutionize road transportation in the near future. Although large-scale numerical simulations and small-scale experiments have shown promising results, a comprehensive theoretical…

Optimization and Control · Mathematics 2020-08-07 Yang Zheng , Jiawei Wang , Keqiang Li

In this paper we extend the Aw-Rascle-Zhang (ARZ) non-equilibrium traffic flow model to take into account the look-ahead capability of connected and autonomous vehicles (CAVs), and the mixed flow dynamics of human driven and autonomous…

Analysis of PDEs · Mathematics 2024-12-09 Shouwei Hui , Michael Zhang

A fundamental problem in traffic networks is driving under safety and limited physical space constraints. In this paper, we design longitudinal vehicle controllers and study the dynamics of a system of homogeneous vehicles on a single-lane…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Milad Pooladsanj , Ketan Savla , Petros A. Ioannou

Recent work has shown that the introduction of autonomous vehicles (AVs) in traffic could help reduce traffic jams. Deep reinforcement learning methods demonstrate good performance in complex control problems, including autonomous vehicle…

Cryptography and Security · Computer Science 2021-09-28 Yue Wang , Esha Sarkar , Wenqing Li , Michail Maniatakos , Saif Eddin Jabari

We consider a one-dimensional traffic model with a slow-to-start rule. The initial position of the cars in $\mathbb R$ is a Poisson process of parameter $\lambda$. Cars have speed 0 or 1 and travel in the same direction. At time zero the…

Probability · Mathematics 2020-06-24 Pablo A. Ferrari , Leonardo T. Rolla

Avoiding congestion and controlling traffic in urban scenarios is becoming nowadays of paramount importance due to the rapid growth of our cities' population and vehicles. The effective control of urban traffic as a means to mitigate…

Artificial Intelligence · Computer Science 2022-08-08 Matteo Cardellini

Car traffic in urban systems has been studied intensely in past decades but models are either limited to a specific aspect of traffic or applied to a specific region. Despite the importance and urgency of the problem we have a poor…

Physics and Society · Physics 2019-09-11 Vincent Verbavatz , Marc Barthelemy

We propose a stochastic model for the intersection of two urban streets. The traffic state at the crossroads is controlled by a set of traffic lights, which periodically switch to red and green with a total period of T. Vehicular dynamics…

Statistical Mechanics · Physics 2007-05-23 M. Ebrahim Fouladvand , Nima Hamedani Radja

As a strategy to reduce travel delay and enhance energy efficiency, platooning of connected and autonomous vehicles (CAVs) at non-signalized intersections has become increasingly popular in academia. However, few studies have attempted to…

Machine Learning · Computer Science 2022-06-28 Duowei Li , Jianping Wu , Feng Zhu , Tianyi Chen , Yiik Diew Wong
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